Howdy,  welcome to the forum and to the wonderful world of Krags!

You have a sporterized US Krag rifle with a cut down barrel (with a 1903 front sight installed) and shortened stock.  It appears that the Krag has been re-blued in addition to being sporterized.

The serial number should be a series of numbers to the right of "Springfield Armory" (1894 will be to the left).  If this is where 2012 is located, then that is the serial number (WOW, a pretty low number at that!).  A clear close-up picture of the left side of the receiver will confirm this.

Check the bottom of the stock under the barrel for a channel that has been filled in, which should be evident.  If so, then this will be a early stock with the cleaning rod channel that has been filled in.

Should be a nice shooter and hunting rifle!